Question

I answered a & b

But I need the answer of C and D by using MATLAB software

Given the electric network shown in Figure. a) Derive the mathematical model of the following electrical network b) Drive transfer function os) c) Find the step response analytically and by using MATLAB. d) Plot the response of the systems. Vi(s) 1 92 1 H

Answer 1

C. Step response of a system in MATLAB

MATLAB code

numerator = [1]
denominator = [4 2 2]
system = tf(numerator,denominator)
step(system)

Explanation of program

The transfer function given in your problem is shown above.

since the numerator is 1, we have used the following command to input the numerator

numerator = [1]

since the denominator is 4s² + 2s +2, take the coefficients of equation which is [4 2 2].

denominator = [4 2 2]

Now we have to convert the numerator and denominator to transfer function. For that we are using the command: tf()

system = tf(numerator,denominator)

The command used for obtaining step response and step response plot is : step()

step(system)

D. Plot of step response

The command step(system) also plots the response. The response is attached below.